Verify that f and g are inverse functions algebraically. f(x ) = - -x - 8, g(x) = _ 3x+ 24 3 7 f(g(x)) = f g(f (x)) = gConsider the following function. f =x+1 (X) X-3 (a) Find the inverse function of f. (b) Graph both 1' and f1 on the same set of coordinate axes. N 10 (c) Describe the relationship between the graphs of f and f'l. O The graph off'1 is the reflection of fin the line y = x. O The graph off'1 is the reflection of fin the yaxis. O The graph of r"1 is the reflection of fin the xaxis. O The graph off'1 is the reflection of fin the line y = x. O The graph of r"1 is the same as the graph of f. (d) State the domain and range of f. (Enter your answers using interval notation.) domain range UH State the domain and range of F1. (Enter your answers using interval notation.) domain range UH Determine whether the function has an inverse function. x+1 9 O Yes, 9 does have an inverse. 900 = O No, 9 does not have an inverse. If it does, then find the inverse function. (If an answer does not exist, enter DNE.) Determine whether the function has an inverse function. q(x) = (x - 7)2 O Yes, f does have an inverse. O No, f does not have an inverse. If it does, find the inverse function. (If an answer does not exist, enter DNE.) q-1 ( x) =Determine whether the function has an inverse function. f(x) = V 2x+7 O Yes, f does have an inverse. O No, f does not have an inverse. If it does, then find the inverse function. (If an answer does not exist, enter DNE.) f- 1 ( x) = X 20Consider the following function. f(x) = (x + 2)2, x 2 2 Find the inverse function f'l. r-1(x) = E State the domain and range of 1'. (Enter your answers using interval notation.) domain range UH State the domain and range of F1. (Enter your answers using interval notation.) domain range UH